8. Given that k satisfies the inequality 5k > 84, find the smallest value of k if k is a prime number.

5k > 84 -> k > 84/5

Because k is a prime number, it must be a whole number

-> k > 16
The smallest prime number after 16 is 17, and it satisfies as 17 x 5 > 84

So, the smallest value of k is 17.

step-by-step explanation:

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.